3-D Adaptive Finite-Element Modeling of Marine Controlled-Source Electromagnetics with Seafloor Topography Based on Secondary Potentials
3-D Adaptive Finite-Element Modeling of Marine Controlled-Source Electromagnetics with Seafloor Topography Based on Secondary Potentials
复制标题
基于二次势的海底地形海洋受控源电磁学 3-D 自适应有限元建模
DOI：
10.1007/s00024-018-1921-y
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发表时间：
2018-06
影响因子：
2
通讯作者：
Zhiyong Zhang
中科院分区：
文献类型：
--
作者：
Yixin Ye;Yuguo Li;Gang Li;Wenwu Tang;Zhiyong Zhang
提出了一种利用自适应节点有限元方法在频域上求解三维地球模型海洋可控源电磁问题的方法。利用二次库仑计电磁（EM）电位解决了正演问题。基于二次电位梯度恢复算子的后验误差估计，实现了一种自适应网格细化算法。为了提高接收位置网格的质量，通过为初始网格分配最大体积来约束包含接收位置的元素。在我们的方法中使用的非结构化四面体网格可以提供复杂结构的精确描述，例如倾斜层和粗糙的地形，这些结构无法使用结构化网格精确拟合。我们首先验证了自适应有限元方法，并使用一维分层模型演示了自适应网格细化过程的收敛性。典型圆盘模型的实例说明了自适应有限元方法对三维CSEM建模的能力。测深模型表明，该算法可以很好地处理复杂的海底地形，这需要精确地模拟，以避免海洋CSEM数据集的误读。
We present a solution of using adaptive nodal finite-element (FE) method to solve the marine controlled-source electromagnetic (CSEM) problem for 3-D earth models in the frequency domain. The forward problem is solved based on the secondary Coulomb-gauged electromagnetic (EM) potentials. We implement an adaptive mesh refinement algorithm according to an a posteriori error estimator based on a gradient-recovery operator of the secondary EM potentials. To increase the quality of the mesh at the receiver locations, the elements containing the receiver locations are constrained by assigning them a maximum volume for the initial mesh. An unstructured tetrahedral mesh used in our approach can provide an accurate description of complex structures such as dipping layers and rough topography that are not accurately fitted using structured meshes. We first validate the adaptive FE approach and demonstrate the convergence of the adaptive grid refinement procedure using a 1-D layered model. The canonical disc model example illustrates the capability of the adaptive FE approach for 3-D CSEM modeling. The bathymetry model shows that the algorithm is well suited to deal with complex seafloor topography, which needs to be simulated exactly to avoid the misinterpretation of marine CSEM data sets.
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影响因子：
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